Resolver (3.8*10^8)^3/(27.3*24*3600)^2=

$$\frac { ( 3.8 \times 10 ^ { 8 } ) ^ { 3 } } { ( 27.3 \times 24 \times 3600 ) ^ { 2 } } =$$

Calcular

$$\frac{535859375000000000000}{54331641}\approx 9.862749682 \cdot 10^{12}$$

Pasos da solución

Calcula 10 á potencia de 8 e obtén 100000000.

$$\frac{\left(3.8\times 100000000\right)^{3}}{\left(27.3\times 24\times 3600\right)^{2}}$$

Multiplica 3.8 e 100000000 para obter 380000000.

$$\frac{380000000^{3}}{\left(27.3\times 24\times 3600\right)^{2}}$$

Calcula 380000000 á potencia de 3 e obtén 54872000000000000000000000.

$$\frac{54872000000000000000000000}{\left(27.3\times 24\times 3600\right)^{2}}$$

Multiplica 27.3 e 24 para obter 655.2.

$$\frac{54872000000000000000000000}{\left(655.2\times 3600\right)^{2}}$$

Multiplica 655.2 e 3600 para obter 2358720.

$$\frac{54872000000000000000000000}{2358720^{2}}$$

Calcula 2358720 á potencia de 2 e obtén 5563560038400.

$$\frac{54872000000000000000000000}{5563560038400}$$

Reduce a fracción \frac{54872000000000000000000000}{5563560038400} a termos máis baixos extraendo e cancelando 102400.

$$\frac{535859375000000000000}{54331641}$$

Factorizar

$$\frac{2 ^ {12} \cdot 5 ^ {19} \cdot 19 ^ {3}}{3 ^ {8} \cdot 7 ^ {2} \cdot 13 ^ {2}} = 9862749682086\frac{39320970}{54331641} = 9862749682086.725$$